The formula to calculate the area of a Hip Roof (A) is:
\[ A = 2 \times (L \times W + \left(\frac{L}{2}\right) \times H) \]
Where:
A hip roof, also known as a hipped roof, is a type of roof design where all sides slope downwards to the walls, usually with a fairly gentle slope. This design is characterized by its four-sided structure, with all four sides featuring a sloping edge that meets at the top to form a ridge. The sides are typically equal in length, forming a symmetrical structure, and they come together at the top to create a single, pointed peak. This type of roof is highly durable and resistant to wind and weather damage due to its aerodynamic shape. It is commonly used in both residential and commercial architecture, particularly in regions prone to high winds or hurricanes.
Let's assume the following values:
Using the formula:
\[ A = 2 \times (40 \times 30 + \left(\frac{40}{2}\right) \times 10) \]
\[ A = 2 \times (1200 + 20 \times 10) = 2 \times (1200 + 200) = 2 \times 1400 = 2800 \text{ square feet} \]
The area of the Hip Roof (A) is 2800 square feet.
